Thanks for all the input. After doing some thinking, reading responses to this post, & talking to other people, I decided to go with a .25-06 caliber.
I finally decided on what manufacturer to go with also. I bought a Weatherby Vanguard Synthetic. It came as a package deal with rifle, scope, (3-9X 40mm Bushnell), hard case, & sling. Yeah, I know, Weatherbys' are made in Japan now. But this being my first centerfire rifle purchase, and a very limited budget; the price was right and I can always upgrade later if I feel the need. I got it on sale at my local gun shop $499.00. $535.00 with tax. MSRP was $680.00. Not a bad deal from what I could tell. Took it to the range to zero it in & I must say that they are true to their word about 3 shots inside 1 1/2" @ 100 yds. grouping. I actually had 3 shot groups inside a 1" diameter @ 100yds. And It didn't matter which ammo I used as long as I held the cross hairs at the same spot. ( I used sand bags to keep steady).
Can't wait for gun season to start!
Again thanks for all the responses. I know everyone has their own opinions on this matter & I appreciate everone taking the time to respond.